Hello and welcome! I think riding lessons for your daughter is a great way to get into it. I got my first horse through my riding instructor. My mom mentioned to her that in about a year we would start looking for a horse, but within a week she pointed us to a wonderful woman who was sort of on the fence about selling Scooter, but found us to be a great fit together. He was dead broke and very laid back and I was still somewhat of a beginner. It all turned out perfectly! So watch out, it may happen sooner than you think ;) haha! When the time is right, it will all work out.
Best of luck in your journey. Any questions, don't hesitate to ask!
TM Tardy's Chick "Hunter" - 13 yo Paint
Remmy - 18 yo Morgan/QH cross
Gunner 3/31/11, Heidi 7/2009 Miniature Sicilian donkey